prove-that-lim-n-0-3-x-2-1-x-x-n-1-x-2n-dx-0-

Tinku Tara November 13, 2024 Integration 0 Comments

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Question Number 213660 by mnjuly1970 last updated on 13/Nov/24

prove that ... lim_(n→∞) ∫_0 ^( 3) (( x^2 (1−x )x^n )/(1+ x^(2n) )) dx=^? 0 −−−−−−−−−−−

p r o v e t h a t \dots

\lim_{n \to \infty} \int_{0}^{3} \frac{x^{2} (1 - x) x^{n}}{1 + x^{2 n}} d x \overset{?}{=} 0

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